Find $$\lim_{x \to 1} \sqrt{x-1}^{\,\sin(πx)}$$ using L'Hopital's Rule. Initially I get $0^0$ so I know I need to use the rule, but I don't know where to begin. Could you help me out with some steps on how to solve this limit?

I tried that but I still ended up with indeterminate forms. Taking the derivative of the Log on both sides would give me (1/L) = limit picos(pix)ln(\sqrt(x-1)) + sin(pi*x)/(2(x-1)). Solving for L, I get the L = 1/(the right side of the equation above). Is there anything else I should do?
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JaredOct 17 '12 at 0:49